RT Journal Article
T1 Hahn multiple orthogonal polynomials of type I: hypergeometric expressions
A1 Branquinho, Amílcar
A1 Díaz, Juan E.F.
A1 Foulquié-Moreno, Ana
A1 Mañas Baena, Manuel Enrique
AB Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi–Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.
PB Elsevier
SN 0022-247X
YR 2023
FD 2023-12-01
LK https://hdl.handle.net/20.500.14352/102721
UL https://hdl.handle.net/20.500.14352/102721
LA eng
NO Branquinho, A., Díaz, J. E., Foulquié-Moreno, A., & Mañas, M. (2023). Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions. Journal of Mathematical Analysis and Applications, 528(1), 127471.
NO 2023 Acuerdos transformativos CRUE
NO Fundação Para A Ciência e Tecnologia FCT/MECS
NO CIDMA (Center for Research and Development in Mathematics and Applications) of University of Aveiro - Portuguese Government through FCT/MECS
NO Fundação Para A Ciência e Tecnologia (FCT) (Portugal)
NO Ministerio de Ciencia e Innovación (España)
NO Agencia Estatal de Investigación (España)
DS Docta Complutense
RD 31 dic 2025